193420 has 24 divisors (see below), whose sum is σ = 428400. Its totient is φ = 73152.

The previous prime is 193393. The next prime is 193423. The reversal of 193420 is 24391.

193420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×193420² = 74822592800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (193423) by changing a digit.

193420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126 + ... + 634.

It is an arithmetic number, because the mean of its divisors is an integer number (17850).

2¹⁹³⁴²⁰ is an apocalyptic number.

193420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214200).

193420 is an abundant number, since it is smaller than the sum of its proper divisors (234980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

193420 is a wasteful number, since it uses less digits than its factorization.

193420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 193420 is about 439.7954069792. The cubic root of 193420 is about 57.8318554621.

It can be divided in two parts, 19 and 3420, that multiplied together give a triangular number (64980 = T₃₆₀).

The spelling of 193420 in words is "one hundred ninety-three thousand, four hundred twenty".